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Thin sequences in the corona of H ∞

100%

Stankov D., Tzonev T.

Open Mathematics

2013

tom 11

nr 10

1843-1849

In this paper we consider several conditions for sequences of points in M(H ∞) and establish relations between them. We show that every interpolating sequence for QA of nontrivial points in the corona $$M(H^\infty )\backslash \mathbb{D}$$ of H ∞ is a thin sequence for H ∞, which satisfies an additional topological condition. The discrete sequences in the Shilov boundary of H ∞ necessarily satisfy the same condition.

Pointwise absolutely convergent series of operators and related classes of Banach spaces

84%

Kadets L., Kadets V.

Open Mathematics

2012

tom 10

nr 2

603-608

We study classes of operators represented as a pointwise absolutely convergent series of simpler ones, starting with rank 1 operators. In this short note we address the question, how far the repetition of this procedure can lead.

Ograniczanie wyników

2 Open Mathematics

1 Kadets L.

1 Kadets V.

1 Stankov D.

1 Tzonev T.

1 2013

1 2012

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Thin sequences in the corona of H ∞

Pointwise absolutely convergent series of operators and related classes of Banach spaces